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Finding the Fourth Proportional to 562.72, 841.86 and 426.16

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Solution

The fourth proportional to 562.72, 841.86 and 426.16 is: 637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.72 : 841.86 = 426.16 : x
  2. Step 2: Convert to fraction form
    562.72/841.86 = 426.16/x
  3. Step 3: Cross multiply
    562.72x = 841.86 × 426.16
  4. Step 4: Simplify right side
    562.72x = 358,767.06
  5. Step 5: Solve for x
    x = 358,767.06/562.72
  6. Step 6: Final answer
    x = 637.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.